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A border of uniform width is placed around a rectangular pho
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20 May 2020, 08:43
20 May 2020, 08:43
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42% (02:45) correct
57% (02:28) wrong based on 217 sessions
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A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
Re: A border of uniform width is placed around a rectangular pho
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22 May 2020, 07:19
22 May 2020, 07:19
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The quickest way to solve this problem is to plug in the options
area of photograph (inner rectangle) = 8*10 = 80
area of the border (outer - inner) = 144
area of border = area of outer rectangle - area of inner rectangle
plugging in option A as possible width of the border, the dimensions of the outer rectangle become, 8+3+3= 14 and 10+3+3=16 (equal width on either side)
area of outer rectangle = 14*16=224
area of border = 224-80=144 which satisfies the question
Answer is A.
area of photograph (inner rectangle) = 8*10 = 80
area of the border (outer - inner) = 144
area of border = area of outer rectangle - area of inner rectangle
plugging in option A as possible width of the border, the dimensions of the outer rectangle become, 8+3+3= 14 and 10+3+3=16 (equal width on either side)
area of outer rectangle = 14*16=224
area of border = 224-80=144 which satisfies the question
Answer is A.
General Discussion
Re: A border of uniform width is placed around a rectangular pho
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20 May 2020, 08:43
20 May 2020, 08:43
1
Expert Reply
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
